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Finding the Third Proportional to 618,279,074 and 1,333,410,535

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Solution

The third proportional to 618,279,074 and 1,333,410,535 is: 2,875,697,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,279,074 : 1,333,410,535 = 1,333,410,535 : x
  2. Step 2: Convert to fraction form
    618,279,074/1,333,410,535 = 1,333,410,535/x
  3. Step 3: Cross multiply
    618,279,074x = 1,333,410,535 × 1,333,410,535
  4. Step 4: Simplify right side
    618,279,074x = 1,777,983,654,848,986,112
  5. Step 5: Solve for x
    x = 1,777,983,654,848,986,112/618,279,074
  6. Step 6: Final answer
    x = 2,875,697,609.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.